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Finding the Fourth Proportional to 65,223.40, 97,640.70 and 38,914.60

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Solution

The fourth proportional to 65,223.40, 97,640.70 and 38,914.60 is: 58,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.40 : 97,640.70 = 38,914.60 : x
  2. Step 2: Convert to fraction form
    65,223.40/97,640.70 = 38,914.60/x
  3. Step 3: Cross multiply
    65,223.40x = 97,640.70 × 38,914.60
  4. Step 4: Simplify right side
    65,223.40x = 3,799,648,784.22
  5. Step 5: Solve for x
    x = 3,799,648,784.22/65,223.40
  6. Step 6: Final answer
    x = 58,255.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.